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When soil is at liquid limit, Ic = ..............
0
1
infinity
none of these
0
The Consistency Index (Ic) is a measure of the relative stiffness of a fine-grained soil. By definition, when the natural water content (wn) of a soil is equal to its liquid limit (wL), the consistency index becomes zero.
The Consistency Index (Ic) is a measure of the relative stiffness of a fine-grained soil. By definition, when the natural water content (wn) of a soil is equal to its liquid limit (wL), the consistency index becomes zero.
Ic=IpwL−wn — Consistency Index formula
Ip=wL−wP — Plasticity Index formula
The consistency index is defined as the ratio of the difference between the liquid limit and the natural water content to the plasticity index of the soil. When wn=wL, the numerator becomes zero, resulting in Ic=0. This indicates that the soil is in a liquid state, having minimal shear strength.
Consistency index describes the state of cohesive soil relative to its liquid and plastic limits.
If Ic=1, the natural water content is equal to the plastic limit (wn=wP).
If Ic>1, the soil is in a semi-solid or solid state.
If Ic<0, the soil is in a liquid state (wn>wL).
Provides a quick assessment of soil consistency in the field.
Useful for evaluating the engineering behavior of clays.
Limited to fine-grained soils (clays and silts).
Does not account for soil structure or sensitivity.
Foundation engineering design.
Predicting settlement characteristics of clayey deposits.
The consistency index is different from the Liquidity Index (IL). Ic+IL=1.
Option B (Ic=1) corresponds to the plastic limit, not the liquid limit.
A is correct — The consistency index Ic is calculated as (wL−wn)/Ip; therefore, when wn=wL, Ic equals 0.
Always verify if the question asks for Consistency Index (Ic) or Liquidity Index (IL), as their definitions are inverse at the Atterberg limits.